TITLE: Computer Algebra Systems which implement Cylindrical Algebraic Decomposition
QUESTION [8 upvotes]: My understanding is that Mathematica's Reduce function is based on Cylindrical Algebraic Decomposition (CAD).
The only other system I've seen which implements CAD is QEPCAD. QEPCAD isn't a general CAS like Mathematica or Maple.
Do any mainstream CASes feature a solver as powerful as Mathematica's Reduce? Are they known to be based on CAD as well? Are any of the open source CASes working on adding a CAD based solver?

REPLY [5 votes]: Open source: In Axiom (also FriCAS and OpenAxiom) see the axiom-developer email list
Re: [Axiom-developer] installing Axiom on Fedora 16
From: Renaud . Rioboo
Date: Fri, 13 Jul 2012 14:15:46 -0700

Dear Axiom Gurus,
there seems to be again some interests on cylindrical algebraic
decomposition and I wanted to recompile my CAD package which is
available at 
http://rioboo.free.fr/CadPub/
The package compiles and runs under open-axiom ...
http://www.ensiie.fr/~renaud.rioboo/